Theory of Newtonian self-gravitating stationary spherically symmetric systems

Heinzle, J. Mark; Rendall, Alan D.; Uggla, Claes

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Theory of Newtonian self-gravitating stationary spherically symmetric systems

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Rendall, Alan D.
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Heinzle, J. M., Rendall, A. D., & Uggla, C. (2006). Theory of Newtonian self-gravitating stationary spherically symmetric systems. Mathematical Proceedings of the Cambridge Philosophical Society, 140, 177-192.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-4ADE-9

Abstract

We investigate spherically symmetric equilibrium states of the Vlasov-Poisson system, relevant in galactic dynamics. We recast the equations into a regular three-dimensional system of autonomous first order ordinary differential equations on a region with compact closure.Based on a dynamical systems analysis we derive theorems that guarantee that the steady state solutions have finite mass and compact support.